Actually i think that whole section in the manual about this is a mess. In many ways the section make no sense.
I answered like i did, because that make most sense to me this way.
The RAND L and RAND R allready set the Random Amount for each point. And this works. So no Random knob is needed to make this settings to work for a single point, and that's what the example you qoute is about.
The manual does mention that the Random Dial add general randomness. The Function Amount was to me the closest to be General.
If another General parameter knob named Random (Random What?) should have excisted, then perhaps all points RAND L and RAND R settings should be set at the same time using this parameter. If a generel parameter like this is meant to be, then the dial is missing. However i do not see anything that describe how a General parameter should work, so i just assumed the manual is a mess on this.
My guess is the manual does not refer to the application as it ended up in the end. Perhaps it refer to something during the developement. As it is know it's nonsense, as the manual refer to none excisting things.
But i also would like this to be made clear by Arturia.